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Finding the Fourth Proportional to 4,881.60, 6,729.60 and 3,463.20

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Solution

The fourth proportional to 4,881.60, 6,729.60 and 3,463.20 is: 4,774.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,881.60 : 6,729.60 = 3,463.20 : x
  2. Step 2: Convert to fraction form
    4,881.60/6,729.60 = 3,463.20/x
  3. Step 3: Cross multiply
    4,881.60x = 6,729.60 × 3,463.20
  4. Step 4: Simplify right side
    4,881.60x = 23,305,950.72
  5. Step 5: Solve for x
    x = 23,305,950.72/4,881.60
  6. Step 6: Final answer
    x = 4,774.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.